Home
Class 9
MATHS
In the given figure, lines AB and CD int...

In the given figure, lines `AB` and `CD` intersect at a point `O.` The sides `CA` and `OB` have been produced to `E` and `F` respectively such that `angleOAE=x^(@)andangleDBF=y^(@)`

If `angleOCA=80^(@),angleCOA=40^(@)andangleBDO=70^(@)" then "x^(@)+y^(@)=?`

A

`190^(@)`

B

`230^(@)`

C

`210^(@)`

D

`270^@`

Text Solution

Verified by Experts

The correct Answer is:
B
Ext. `angleOAE=angleOCA+angleCOAimpliesx^(@)=(80^(@)+40^(@))=120^(@)`.
`angleBOD=angleCOA+40^(@)" "("vert. opp"angles)`
Ext. `angleDBF=angleBOD+angleBDO=(40^(@)+70^(@))=110^(@)impliesy^(@)=110^(@)`.
`:.x^(@)+y^(@)=(120^(@)+110^(@))=230^(@)`.
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|2 Videos

  • QUADRILATERALS

    RS AGGARWAL|Exercise Matching of Columns:|2 Videos

  • VOLUME AND SURFACE AREA OF SOLIDS

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|73 Videos

Similar Questions

Explore conceptually related problems

In the given figure, the two lines AB and CD intersect at a point O such that angleBOC=125^(@) . Find the values of x, y, and z.

In the given figure, AB||CD . Find th value of x,y and z.

In Figure,the sides BC,CA and AB of a ABC have been produced to D,E and F respectively.If /_ACD=105^(@) and /_EAF=45^(@), find all the angles of the ABC

In the given figure, if x = y and AB = CB , then prove that AE = CD .

In the given figure, AB||CD . Find the values of x, y and z.

In the given figure, if AB||CD,CD||EF and y:z=3:7 , then find x.

In the given figure, the sides AB and AC of DeltaABC have been extended to D and E respectively. If xgty , show that ABgtAC .

In the given figure, find the values of x and y and then show that AB||CD .